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Finding the Third Proportional to 196,804.13 and 407,611.13

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Solution

The third proportional to 196,804.13 and 407,611.13 is: 844,224.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,804.13 : 407,611.13 = 407,611.13 : x
  2. Step 2: Convert to fraction form
    196,804.13/407,611.13 = 407,611.13/x
  3. Step 3: Cross multiply
    196,804.13x = 407,611.13 × 407,611.13
  4. Step 4: Simplify right side
    196,804.13x = 166,146,829,223.77
  5. Step 5: Solve for x
    x = 166,146,829,223.77/196,804.13
  6. Step 6: Final answer
    x = 844,224.32

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.